107066917345 has 8 divisors (see below), whose sum is σ = 128482298280. Its totient is φ = 85652202240.

The previous prime is 107066917339. The next prime is 107066917357. The reversal of 107066917345 is 543719660701.

It can be written as a sum of positive squares in 4 ways, for example, as 35333472784 + 71733444561 = 187972^2 + 267831^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 107066917345 - 2⁹ = 107066916833 is a prime.

It is a super-3 number, since 3×107066917345³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312711 + ... + 558499.

It is an arithmetic number, because the mean of its divisors is an integer number (16060287285).

Almost surely, 2^107066917345 is an apocalyptic number.

It is an amenable number.

107066917345 is a deficient number, since it is larger than the sum of its proper divisors (21415380935).

107066917345 is an equidigital number, since it uses as much as digits as its factorization.

107066917345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332915.

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 107066917345 in words is "one hundred seven billion, sixty-six million, nine hundred seventeen thousand, three hundred forty-five".